La Classification Mathématique par matières 2000
Mathematics subject Classification 2000

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26-XX Real functions [See also 54C30]

• 26-00 General reference works (handbooks, dictionaries, bibliographies, etc.)
• 26-01 Instructional exposition (textbooks, tutorial papers, etc.)
• 26-02 Research exposition (monographs, survey articles)
• 26-03 Historical (must also be assigned at least one classification number from Section 01)
• 26-04 Explicit machine computation and programs (not the theory of computation or programming)
• 26-06 Proceedings, conferences, collections, etc.
• 26-99 Real functions (not classified at a more specific level)
• 26Axx Functions of one variable
  • 26A03 Foundations: limits and generalizations, elementary topology of the line
  • 26A06 One-variable calculus
  • 26A09 Elementary functions
  • 26A12 Rate of growth of functions, orders of infinity, slowly varying functions [See also 26A48]
  • 26A15 Continuity and related questions (modulus of continuity, semicontinuity, discontinuities, etc.) [For properties determined by Fourier coefficients, see 42A16; for those determined by approximation properties, see 41A25, 41A27]
  • 26A16 Lipschitz (Hölder) classes
  • 26A18 Iteration [See also 37Bxx, 37Cxx, 37Exx, 39B12, 47H10, 54H25]
  • 26A21 Classification of real functions; Baire classification of sets and functions [See also 03E15, 28A05, 54C50, 54H05]
  • 26A24 Differentiation (functions of one variable): general theory, generalized derivatives, mean-value theorems [See also 28A15]
  • 26A27 Nondifferentiability (nondifferentiable functions, points of nondifferentiability), discontinuous derivatives
  • 26A30 Singular functions, Cantor functions, functions with other special properties
  • 26A33 Fractional derivatives and integrals
  • 26A36 Antidifferentiation
  • 26A39 Denjoy and Perron integrals, other special integrals
  • 26A42 Integrals of Riemann, Stieltjes and Lebesgue type [See also 28-XX]
  • 26A45 Functions of bounded variation, generalizations
  • 26A46 Absolutely continuous functions
  • 26A48 Monotonic functions, generalizations
  • 26A51 Convexity, generalizations
  • 26A99 None of the above, but in this section
• 26Bxx Functions of several variables
• 26Cxx Polynomials, rational functions
• 26Dxx Inequalities [For maximal function inequalities, see 42B25; for functional inequalities, see 39B72; for probabilistic inequalities, see 60E15]
• 26Exx Miscellaneous topics [See also 58Cxx]

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